Question

In triangle RST, VT =60 in.
What is the length of TX?

Answer 1

40 in. I took the test

Explanation:

Answer 2

`TX=40in`

Explanation:

From the graph, we observe that point X is a barycenter, that is, it's formed by the intersection of the three medians of a triangle.

This intersection points gives a theorem that states

"The medians of a triangle intercept at a points that is two thirds the distance from each vertex to the midpoint of the opposite side".

So, if we apply here such theorem, we have

`TX=(2)/(3)VT\\TX=(2)/(3)60in\\ TX=40in`

Therefore,
`TX=40in`